K13n2977
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Polynomial invariants
| Jones polynomial | Data:K13n2977/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^2+7 t-9+7 t^{-1} -2 t^{-2} }[/math] |
| Conway polynomial | Data:K13n2977/Conway Polynomial |
| Determinant | 27 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} +z^6-a^2 z^4-z^4 a^{-2} -5 z^4 a^{-4} +z^4 a^{-6} +4 z^4-2 a^2 z^2-z^2 a^{-2} -7 z^2 a^{-4} +3 z^2 a^{-6} +6 z^2-a^2+ a^{-2} -4 a^{-4} +2 a^{-6} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +2 z^{10} a^{-2} +3 z^{10} a^{-4} +2 z^{10} a^{-6} +z^{10}+3 a z^9+4 z^9 a^{-1} -6 z^9 a^{-3} -5 z^9 a^{-5} +2 z^9 a^{-7} +3 a^2 z^8-12 z^8 a^{-2} -23 z^8 a^{-4} -12 z^8 a^{-6} +z^8 a^{-8} +z^8+a^3 z^7-11 a z^7-18 z^7 a^{-1} +6 z^7 a^{-3} -12 z^7 a^{-7} -13 a^2 z^6+20 z^6 a^{-2} +50 z^6 a^{-4} +18 z^6 a^{-6} -6 z^6 a^{-8} -19 z^6-4 a^3 z^5+6 a z^5+18 z^5 a^{-1} +3 z^5 a^{-3} +15 z^5 a^{-5} +20 z^5 a^{-7} +15 a^2 z^4-15 z^4 a^{-2} -44 z^4 a^{-4} -9 z^4 a^{-6} +10 z^4 a^{-8} +25 z^4+4 a^3 z^3+3 a z^3-4 z^3 a^{-1} -4 z^3 a^{-3} -14 z^3 a^{-5} -13 z^3 a^{-7} -6 a^2 z^2+4 z^2 a^{-2} +19 z^2 a^{-4} +4 z^2 a^{-6} -5 z^2 a^{-8} -12 z^2-a^3 z-2 a z-2 z a^{-1} +z a^{-3} +6 z a^{-5} +4 z a^{-7} +a^2- a^{-2} -4 a^{-4} -2 a^{-6} +3 }[/math] |
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